Turning Point for Data Series

I am looking at identifing short-term and long-term turning points for a data series. For example, in the attached file, I would like to identify day 27 as a short-term low and a short-term high at day 34. Also, I would like to identify a long-term high at day 107 and a long-term low at day 150.

I am looking for a formula I can put in column C that will identify these turning points.